Basic Math Examples

$(15 \div 5 + 6 + 9) \cdot 4 \cdot 2 + 7$

Step 1

Simplify each term.

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Step 1.1

Find the common denominator.

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Step 1.1.1

Write $6$ as a fraction with denominator $1$ .

$(15 \div 5 + \frac{6}{1} + 9) \cdot 4 \cdot 2 + 7$

Step 1.1.2

Multiply $\frac{6}{1}$ by $\frac{5}{5}$ .

$(15 \div 5 + \frac{6}{1} \cdot \frac{5}{5} + 9) \cdot 4 \cdot 2 + 7$

Step 1.1.3

Multiply $\frac{6}{1}$ by $\frac{5}{5}$ .

$(15 \div 5 + \frac{6 \cdot 5}{5} + 9) \cdot 4 \cdot 2 + 7$

Step 1.1.4

Write $9$ as a fraction with denominator $1$ .

$(15 \div 5 + \frac{6 \cdot 5}{5} + \frac{9}{1}) \cdot 4 \cdot 2 + 7$

Step 1.1.5

Multiply $\frac{9}{1}$ by $\frac{5}{5}$ .

$(15 \div 5 + \frac{6 \cdot 5}{5} + \frac{9}{1} \cdot \frac{5}{5}) \cdot 4 \cdot 2 + 7$

Step 1.1.6

Multiply $\frac{9}{1}$ by $\frac{5}{5}$ .

$(15 \div 5 + \frac{6 \cdot 5}{5} + \frac{9 \cdot 5}{5}) \cdot 4 \cdot 2 + 7$

Step 1.2

Combine the numerators over the common denominator.

$\frac{15 + 6 \cdot 5 + 9 \cdot 5}{5} \cdot 4 \cdot 2 + 7$

Step 1.3

Simplify each term.

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Step 1.3.1

Multiply $6$ by $5$ .

$\frac{15 + 30 + 9 \cdot 5}{5} \cdot 4 \cdot 2 + 7$

Step 1.3.2

Multiply $9$ by $5$ .

$\frac{15 + 30 + 45}{5} \cdot 4 \cdot 2 + 7$

Step 1.4

Add $15$ and $30$ .

$\frac{45 + 45}{5} \cdot 4 \cdot 2 + 7$

Step 1.5

Add $45$ and $45$ .

$\frac{90}{5} \cdot 4 \cdot 2 + 7$

Step 1.6

Divide $90$ by $5$ .

$18 \cdot 4 \cdot 2 + 7$

Step 1.7

Multiply $18 \cdot 4 \cdot 2$ .

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Step 1.7.1

Multiply $18$ by $4$ .

$72 \cdot 2 + 7$

Step 1.7.2

Multiply $72$ by $2$ .

$144 + 7$

Step 2

Add $144$ and $7$ .

$151$